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Finding the Third Proportional to 883.83 and 1,311.05

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Solution

The third proportional to 883.83 and 1,311.05 is: 1,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.83 : 1,311.05 = 1,311.05 : x
  2. Step 2: Convert to fraction form
    883.83/1,311.05 = 1,311.05/x
  3. Step 3: Cross multiply
    883.83x = 1,311.05 × 1,311.05
  4. Step 4: Simplify right side
    883.83x = 1,718,843.91
  5. Step 5: Solve for x
    x = 1,718,843.91/883.83
  6. Step 6: Final answer
    x = 1,944.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.